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Finding the Third Proportional to 67,178 and 90,921

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Solution

The third proportional to 67,178 and 90,921 is: 123,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178 : 90,921 = 90,921 : x
  2. Step 2: Convert to fraction form
    67,178/90,921 = 90,921/x
  3. Step 3: Cross multiply
    67,178x = 90,921 × 90,921
  4. Step 4: Simplify right side
    67,178x = 8,266,628,241
  5. Step 5: Solve for x
    x = 8,266,628,241/67,178
  6. Step 6: Final answer
    x = 123,055.59

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.